Business Calculus 1 (BUS-2801-02W)

Question 1

The graph of y = x) is shown in red. Graph y = f(x)_ E) Choose the correct graph (in blue} on the right @99 @99 @99 @99 Indicate how the graph of g(x) = - |x - 3| is related to the graph of f(x) = |x|, How is g(x) related to f(x)? shown below. Sketch a graph of the function. O A. The graph of g(x) is the graph of f(x) shifted to the left 3 units Af(x) O and reflected in the x-axis. O B. The graph of g(x) is the graph of f(x) shifted down 3 units and reflected in the x-axis. O C. The graph of g(x) is the graph of f(x) shifted to the right 3 units and reflected in the x-axis. O D. The graph of g(x) is the graph of f(x) shifted up 3 units and reflected in the x-axis.Indicate how the graph of 90:) = - 2 - J; is related to the graph of for): '5. HOW is 90!) \"3'3th to \"1)? shown below. Sketch a graph df the function. 0 A. The graph of 90:] is the graph of at) reected in the x-axis and shifted up 2 units. 0 B. The graph of 9ch is the graph of for) reected in the xaxis and shifted down 2 units. 0 C. The graph of 90:] is the graph of for) shifted down 2 units. 0 D. The graph of 99:) is the graph of f(x) shifted up 2 units. Describe how the graph of g(x) = - 3/x| is related to the graph of f(x) = |x|, shown How is g(x) related to f(x)? below. Sketch a graph of the function. O A. The graph of g(x) is a vertical shrink of f(x) by a factor of 3 and is Af(x) reflected in the x-axis. O B. The graph of g(x) is the graph of f(x) shifted down 3 units and is reflected in the x-axis. O C. The graph of g(x) is the graph of f(x) shifted up 3 units and is reflected in the x-axis. O D. The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and is reflected in the x-axis.The graph to the ght is the result of applying a sequence at transfon'nations to the graph of one of the six basic functions Identify the basic function and describe the transformation verbally. Write an equation for the given graph. @ What is the basic function? 0 A. Identity function f(x)= x O B. Cube root function p(x) = if; Q C. Square root function DD!) = J; O D. Square function h(x)=x2 O E. Cube function m(x) = x3 O F. Absolute value function g(x) = M The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. What is the basic function? O A. Square function h(x) = x O B. Cube function m(x) = x O C. Square root function n(x) = Vx O D. Identity function f(x) = x O E. Cube root function p(x) = Vx O F. Absolute value function g(x) = |x|The graph to the right is the result of applying a sequence of transformations to the graph of one of the six basic functions. Identify the basic function and describe the transformation verbally. Write an equation for the given graph. What is the basic function? O A. Cube root function p(x) = Vx O B. Absolute value function g(x) = |x| O C. Square function h(x) =x O D. Identity function f(x) = x O E. Cube function m(x) = x OF. Square root function n(x) = xThe graph of the function g is tanned by applying the indicated sequence of lIanstonnations to the given function f, Find an equation for the function g and graph 9 using -75357 and -?Sy57. The graph of for) = J; is shifted 2 units to the ght and 1 unit down; gtx) = l:] Graph the function. 2-2x if x 50 Choose the correct graph below. 0 A. O B. O C. O D. 01530456075 01530456075 01530456075 01530456075 Determine if reversing the order of the following two transformations can produce a different result. vertical shift; reflection in the x-axis The result of a vertical shift followed by a reflection in the x-axis would most naturally be denoted by The result of a reflection in the x-axis followed by a vertical shift would most naturally be denoted by Therefore, reversing the order change the final result.A retail chain sells DVD players. The price-demand function of a particular model p(x) (in dollars) is given below for the weekly demand x. (A) Describe how the graph of function p can be obtained from the graph of f(x) = vx. (B) Sketch a graph of function p. p(x) = 112-4x 95xs289 How is p(x) related to f(x)? A. The graph of p(x) is the graph of f(x) vertically shrunk by 4 and shifted up 112 units. O B. The graph of p(x) is the graph of f(x) reflected in the x-axis, vertically shrunk by , and shifted down 112 units. O C. The graph of p(x) is the graph of f(x) vertically stretched by 4 and shifted up 112 units. O D. The graph of p(x) is the graph of f(x) reflected in the x-axis, vertically stretched by 4, and shifted up 112 units.The table to the right shows the electricity rates charged by Better Than Lightning Utilities in the winter months. Winter (November-June) a. Write a piecewise definition of the monthly charge W(x) for a customer who uses x Base charge, $6.50 KWh in a winter month. First 500 kWh or less at 0.0600/kWh b. Determine the graph of W(x) Over 500 KWh at 0.0800/kWh a. Write a piecewise definition of the monthly charge W(x). if O s x s 500 W(x) = if 500